scholarly journals A note on weak-star and norm Borel sets in the dual of the space of continuous functions

2020 ◽  
Vol 148 (5) ◽  
pp. 2157-2161
Author(s):  
S. Ferrari
Keyword(s):  
Continuous Functions ◽  
Space Of Continuous Functions ◽  
Borel Sets ◽  
Weak Star

Periodic solutions to functional differential equations

1985 ◽  
Vol 101 (3-4) ◽  
pp. 253-271 ◽  
Author(s):  
O. A. Arino ◽  
T. A. Burton ◽  
J. R. Haddock
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Uniform Boundedness ◽  
Continuous Functions ◽  
Ultimate Boundedness ◽  
Space Of Continuous Functions ◽  
Uniform Ultimate Boundedness ◽  
Functional Differential ◽  
Image Position

SynopsisWe consider a system of functional differential equationswhere G: R × B → Rn is T periodic in t and B is a certain phase space of continuous functions that map (−∞, 0[ into Rn. The concepts of B-uniform boundedness and B-uniform ultimate boundedness are introduced, and sufficient conditions are given for the existence of a T-periodic solution to (1.1). Several examples are given to illustrate the main theorem.

scholarly journals Korovkin sets for an operator on a space of continuous functions

1976 ◽  
Vol 65 (2) ◽  
pp. 337-345 ◽  
Author(s):  
Le Baron Ferguson ◽  
Michael D. Rusk
Keyword(s):  
Continuous Functions ◽  
Space Of Continuous Functions
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